Name______Date______Class______
Distance and Area in the Coordinate Plane
Study Guide: D
Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.
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Name______Date______Class______
1.Which point is the same distance from the x-axis as Point N?
Apoint LCpoint A
Bpoint M
2.Which point is a reflection of (2, 5) across the y-axis?
A(2, 5)C(2, 5)
B(2, 5)
3.What is the area of the triangle below?
A35 in2C136 in2
B68 in2
4.On a coordinate plane, what is the distance between the point at (5, 3) and the point at (5, 17)?
A14 unitsC6 units
B11 units
5.Which ordered pair completes the table below?
Point / Reflected acrossy-axis / Reflected across
x-axis
(-1, -5) / (-1, 5)
A(1, 5)C(1, 5)
B(1, 5)
6. On a coordinate plane, what is the distance between the point at (2, 9) and the point at (4, 9)?
A3 unitsC0 units
B2 units
7.A polygon on a coordinate plane has
6 vertices. What is the shape of the polygon?
AhexagonCoctagon
Bquadrilateral
8. What is the perimeter of the figure on the coordinate plane below?
A32 unitsC22 units
B24 units
9. What is the area of the figure on the coordinate plane below?
A30 square units
B70 square units
C140 square units
10.Which point is a reflection of (3, 3) across the y-axis?
A(3, 3)C(3, 3)
B(3, 3)
Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.
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Name______Date______Class______
Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.
1
Name______Date______Class______
11.A point at (6, -5) is reflected across the
y-axis. What is the distance of this new point from the y-axis? Explain how you know.
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12.Can a point at (0, 2) be reflected across the y-axis? Explain, and give the coordinates of the new point, if possible.
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13.Can a point at (0, 4) be reflected across the x-axis? Explain, and give the coordinates of the new point, if possible.
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14.Alan found the distance between point A(3, 4) and point B(8, 4). His work is shown below.
3 to the y-axis 3 units
8 to the y-axis 8 units
11 units from A to B
What error did Alan make? What is the actual distance from point A to point B?
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15.Kate plotted a point K in Quadrant I. After she reflected the point across an axis, the reflected point was in Quadrant II. Give a possible ordered pair for point K and its reflection. Describe how the point was reflected.
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16.A map is drawn on a coordinate plane. Each unit represents 10 miles. Terri drives from her home at point G to her friend’s home at point H, following the route shown below. Terri drives steadily at 50 miles per hour. How long is the distance between the two points? How long will it take Terri to get from point
G to point H? Show your work.
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17.Use the coordinate grid below to draw a square that has an area of 9 square units. Prove that your figure has the correct area using distance and area calculations.
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Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.
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